Question

PLS HELP I DONT UNDERSTAND THIS

The volume of a cone is 48 cubic inches. The radius is 1.3 meters. Determine the height of the cone. Use 3.14 for π. Round your answer to the nearest tenth. Show all your work.

Answer 1

27.1 inches

Explanation:

Volume of a cone = ⅓ × pi × r² × h

48 = ⅓ × 3.14 × 1.3² × h

h = (48 × 3)/(3.4 × 1.3²)

h = 27.1360193 inches

Answer 2

27.1 inches

Explanation:

The volume of a cone is denoted by:
`V=(1)/(3) \pi r^2h`, where r is the radius and h is the height.

Here, we're already given that the volume is 48, so V = 48, and that the radius is 1.3, so r = 1.3. Plug these in:

`V=(1)/(3) \pi r^2h`

`48=(1)/(3) \pi *1.3^2h`

Now, solve for h by dividing both sides by (
`(1)/(3) \pi *1.3^2`):

h = 48 ÷ (
`(1)/(3) \pi *1.3^2`) ≈ 27.1 inches

Hope this helps!